Geometry

Expressing Geometric Properties with Equations

### Lessons for this standard

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### Related standards

- This standard is part of: G-GPE
- This standard is derived from: CCSS.Math.Content.HSG-GPE.B

#### More specific sub-standards

Use coordinates to prove simple geometric theorems algebraically.

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

#### Similar standards elsewhere

Use coordinates to prove simple geometric theorems algebraically.

Use coordinates to prove simple geometric theorems algebraically.

Use coordinates to prove simple geometric theorems algebraically